The given diagram;
The radius of the cylinder = 4in
Height of the cylinder = 10in
Since, the diagram is the 1/4 part of the cylinder. so the volume of this given solid is equal to the volume of the full cylinder divide by 4.
[tex]\text{ Volume of solid = }\frac{Volume\text{ of cylinder}}{4}[/tex]
The expression for the volume of cylinder πr²h.
Substitute r = 4, h = 10;
[tex]\begin{gathered} \text{ Volume of solid = }\frac{Volume\text{ of cylinder}}{4} \\ \text{ Volume of solid =}\frac{\pi\times r^2\times h}{4} \\ \text{ Volume of solid =}\frac{3.14\times4^2\times10}{4} \\ \text{ Volume of solid = 125.7 in}^3 \end{gathered}[/tex]
Answer : D) 125.7in³
